On non-minimal complements

DOI10.1016/j.aam.2021.102226zbMath1492.11012arXiv2007.08507OpenAlexW3043598095MaRDI QIDQ2048374

Jyoti Prakash Saha, Arindam Biswas

Publication date: 5 August 2021

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.08507

zbMATH Keywords

sumsetsadditive number theoryrepresentation of integersminimal complements

Mathematics Subject Classification ID

Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Additive bases, including sumsets (11B13) Inverse problems of additive number theory, including sumsets (11P70)

Related Items (2)

On eventually periodic sets as minimal additive complements ⋮ Sets arising as minimal additive complements in the integers

Cites Work

• Some unsolved problems
• On minimal additive complements of integers
• Asymptotic complements in the integers
• A note on minimal additive complements of integers
• Complements of finite sets of integers
• Inverse problems for minimal complements and maximal supplements
• On additive co-minimal pairs
• PROBLEMS IN ADDITIVE NUMBER THEORY, IV: NETS IN GROUPS AND SHORTEST LENGTH g-ADIC REPRESENTATIONS
• Minimal Complementary Sets
• On a Problem of Nathanson Related to Minimal Additive Complements
• On a Problem of Additive Number Theory
• Some Results on Additive Number Theory

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